Calculus

Integrate g(x, y, z) =x2y2z2 over the surface of the rectangular solid cut from the first octant by the planes

Started by lbcchick

Evaluate the surface integral where S is the portion of the cone above the quarter disk in the xy-plane.

Started by james9437

Evaluate the surface integral where S is the entire surface lying in the first octant.

Started by mikaylakyoung

Evaluate the surface integral , where S is the portion of the plane above the region R bounded by ...

Started by jerry coleman

Find the area of the ellipse cut from the plane z = cx by the cylinder (c is constant.)

Started by OSWALD

Find the area of the region cut from the plane x + 2y + 2z = 5 by the cylinder whose walls are and

Started by karateprodigy

Find the area of the surface cut from the paraboloid x2 + y2 - z = 0 by the plane z = 2.

Started by ereecah

What conditions must a domain D in the xy-plane satisfy to ensure that the value of the line ...

Started by ap345

Around what non-self-intersecting closed curves in the xy-plane will the line integral have a zero value?

Started by roselinechinyere27m

Use the fact that the field F = 2xy3z4 i + (3x2y2z4 + x) j + 4x2y3z3 k is almost conservative to ...

Started by tuffie

For what value of the constant A does the line integral I = , where have the same value for all ...

Started by cagreen833

Evaluate the line integral for F = y, 0, zy, where R is the helix

Started by Engineer

Evaluate the line integral dx + 2y dy + (x + 2z) dz along the curve C with parametrization with

Started by student77

Let F be a vector field such that F = - y i for some smooth scalar function . Evaluate ...

Started by mikaylakyoung

Let F be a smooth conservative force field defined in 2-space with a potential function , and let C ...

Started by xroflmao

Let S1= , S2 = and S3 = be sets of points in 3-space. Determine whether the set is a connected or a ...

Started by mcmcdaniel

If F = -y i + x j + z k, calculate where C is the straight line segment from to

Started by WWatsford

Find the work done by the force field F(x, y, z) = x i + 3xy j - (x + z) k on a particle moving ...

Started by joe

Find ds along the entire line 3x + 4y = 10. (Hint: Use symmetry to replace the line with a ...

Started by wrbasek0

Let C be the curve of intersection of the paraboloid z = 6 - x2 - y2 and the cone z = .Find the mass ...

Started by fahad

Evaluate the line integral ds, where C is that part of the line of intersection of the two planes and from

Started by Redwolflake15

Evaluate the line integralalong the straight line from (1, 2, -1) to (3, 2, 5).

Started by chads108

Evaluate the integral ds once around the square C in the xy-plane with vertices ( 1, 1) and ( 1, -1).

Started by Metfan725

Let F = i + j + K k. For what value of the constant K is F conservative? If K has that value, find ...

Started by jeatrice

(a) In terms of polar coordinates r and , describe the field lines of the conservative plane vector ...

Started by dejastew